4648758578464 has 576 divisors, whose sum is σ = 12992204445696. Its totient is φ = 1591197696000.

The previous prime is 4648758578437. The next prime is 4648758578467.

4648758578464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4648758578464² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4648758578467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666294144 + ... + 666301120.

It is an arithmetic number, because the mean of its divisors is an integer number (22555910496).

Almost surely, 2^{4648758578464} is an apocalyptic number.

4648758578464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4648758578464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496102222848).

4648758578464 is an abundant number, since it is smaller than the sum of its proper divisors (8343445867232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4648758578464 is a wasteful number, since it uses less digits than its factorization.

4648758578464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7102 counting only the distinct ones).

The product of its digits is 5780275200, while the sum is 76.

The spelling of 4648758578464 in words is "four trillion, six hundred forty-eight billion, seven hundred fifty-eight million, five hundred seventy-eight thousand, four hundred sixty-four".